Question

If a runner completes a 10 kilometer race in 32.50 minutes, what is the 10.0 km pace in miles per hour? (1.609 km = 1 mile approximately)

Answer 1

To find the 10.0 km pace in miles per hour, convert kilometers to miles and minutes to hours. Then, divide the distance in miles by the time in hours to find the pace in miles per hour.

Step-by-step explanation:

To find the 10.0 km pace in miles per hour, we first convert kilometers to miles using the conversion factor 1.609 km = 1 mile. So, 10.0 km is equal to 6.21371192 miles. Next, we convert minutes to hours by dividing 32.50 minutes by 60. This gives us 0.54166667 hours. Finally, we divide the distance in miles by the time in hours to find the pace in miles per hour.

The 10.0 km pace in miles per hour is approximately 11.47 miles per hour.

Answer 2

If a runner completes a 10 km race in 32.5 minutes, his pace or speed can be calculated by the equation:

velocity = distance/time = 10km/32.5 mins = 0.3125 km/min

Convert this value to miles per hour using the conversion factors for minutes to hours and kilometers to miles as requested by the problem. This gives an answer of 11.47 miles per hour.

0.3125 km/min x 60 mins./ 1 hour x 1 mile / 1.609 km = 11.47 miles/hour